Let us assume the number of children attending the movie = x Let us also assume the number of adults attending the movie = y Cost of admission for a children in the movie = $8 Cost of admission of an adult in the movie = $12 Number of people going to the movie on a certain day = 3200 Total amount collected from the movie theater = $33040 Then x + y = 3200 And 8x + 12y = 33040 2x + 3y = 8260 Let us first take the equation x + y = 3200 x = 3200 - y Now we will put the value of x in the equation 2x + 3y = 8260 2(3200 - y) + 3y = 8260 6400 - 2y + 3y = 8260 y = 8260 - 6400 = 1860 Now we will put the value of y from the above deduction in the equation x + y = 3200 x + 1860 = 3200 x = 3200 - 1860 = 1340 So the number of children going to the movie theater is 1340 and the number of adults going to the movie theater is 1860.
the prob that you will pick a blue marble would be 12/16, easy.
then the prob of picking a yellow marble after that would be 4/15 since one marble is already missing. multiply the numerator and denominator of each fraction. so 12 x 4 and 16 x 15 to get 48/240. then divide each by 48 to get 1/5.
